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Finding the Fourth Proportional to 251,213.16, 346,327.74 and 200,398.35

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Solution

The fourth proportional to 251,213.16, 346,327.74 and 200,398.35 is: 276,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,213.16 : 346,327.74 = 200,398.35 : x
  2. Step 2: Convert to fraction form
    251,213.16/346,327.74 = 200,398.35/x
  3. Step 3: Cross multiply
    251,213.16x = 346,327.74 × 200,398.35
  4. Step 4: Simplify right side
    251,213.16x = 69,403,507,655.23
  5. Step 5: Solve for x
    x = 69,403,507,655.23/251,213.16
  6. Step 6: Final answer
    x = 276,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.